This is a personal passion project I created as a delve into Lagrange polynomials and interpolation. The program is designed for matplotlib, however notably the graph will only show with some sort of ...

High order and sparse layers in pytorch. Lagrange Polynomial, Piecewise Lagrange Polynomial, Piecewise Discontinuous Lagrange Polynomial (Chebyshev nodes) and Fourier Series layers of arbitrary order.

Abstract: Base on the Lagrange interpolation polynomial algorithm, the error analysis is discussed in this paper. Firstly, we derive the Lagrange interpolation ...

Abstract: The interpolation errors of bivariate Lagrange polynomial and triangular interpolations are studied for the plane waves. The maximum and root-mean-square (rms) errors on the right triangular ...

Department of Mathematics, University of Sargodha, Sargodha, Pakistan. There are two general classes of subdivision schemes, namely, approximating and interpolating schemes. The limit curve of an ...

In this paper, an algebraic method which is based on the groebner bases theory is proposed to solve the polynomial functions conditional extreme. Firstly, we describe how to solve conditional extreme ...